A generalized conic domain and its applications to certain subclasses of multivalent functions associated with the basic (or $ q $-) calculus

H. M. Srivastava; T. M. Seoudy; M. K. Aouf; H. M. Srivastava; T. M. Seoudy; M. K. Aouf

doi:10.3934/math.2021388

AIMS Mathematics

2021, Volume 6, Issue 6: 6580-6602. doi: 10.3934/math.2021388

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Research article

A generalized conic domain and its applications to certain subclasses of multivalent functions associated with the basic (or $ q $-) calculus

1.
Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada
2.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
3.
Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
4.
Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy
5.
Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
6.
Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia
7.
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Received: 13 November 2020 Accepted: 08 April 2021 Published: 16 April 2021
MSC : 11M35, 30C45, 30C50

- analytic functions,
- multivalent functions,
- conic domain,
- basic (or $ q $-) calculus,
- generalized conic domain,
- principle of subordination,
- coefficient estimates,
- Fekete-Szegöinequalities
Citation: H. M. Srivastava, T. M. Seoudy, M. K. Aouf. A generalized conic domain and its applications to certain subclasses of multivalent functions associated with the basic (or $ q $-) calculus[J]. AIMS Mathematics, 2021, 6(6): 6580-6602. doi: 10.3934/math.2021388

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